The ''Carus Mathematical Monographs'' is a

monograph series Monographic series (alternatively, monographs in series) are scholarly and scientific books released in successive volumes, each of which is structured like a separate book or scholarly monograph. Semantics In general books that are released ser ...

published by the

Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...

.Drake, Miriam A. (2003). ''Encyclopedia of Library and Information Science: Lib-Pub.'' CRC Press, Books in this series are intended to appeal to a wide range of readers in

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

and

science Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into twoor threemajor branches: the natural sciences, which stu ...

Scope and audience

While the books are intended to cover nontrivial material, the emphasis is on exposition and clear communication rather than novel results and a systematic

Bourbaki Bourbaki(s) may refer to : Persons and science * Charles-Denis Bourbaki (1816–1897), French general, son of Constantin Denis Bourbaki * Colonel Constantin Denis Bourbaki (1787–1827), officer in the Greek War of Independence and serving in the ...

-style presentation. The webpage for the series states:

The exposition of mathematical subjects that the monographs contain are set forth in a manner comprehensible not only to teachers and students specializing in mathematics, but also to scientific workers in other fields. More generally, the monographs are intended for the wide circle of thoughtful people familiar with basic graduate or advanced undergraduate mathematics encountered in the study of mathematics itself or in the context of related disciplines who wish to extend their knowledge without prolonged and critical study of the mathematical journals and treatises.Mathematical Association of America
Carus Mathematical Monographs

Many of the books in the series have become classics in the genre of general mathematical exposition.

Series listing

#''Calculus of Variations'', by

G. A. Bliss Gilbert Ames Bliss, (May, 9 1876 – May 8, 1951), was an American mathematician, known for his work on the calculus of variations. Life Bliss grew up in a Chicago family that eventually became affluent; in 1907, his father became president of t ...

(out of print) #''Analytic Functions of a Complex Variable'', by

D. R. Curtiss David Raymond Curtiss (January 12, 1878 – April 29, 1953) was an American mathematician. He served as president of the Mathematical Association of America from 1935 to 1936. He was also vice president of the American Mathematical Society and th ...

(out of print) #''Mathematical Statistics'', by H. L. Rietz (out of print) #''Projective Geometry'', by J. W. Young (out of print) #''A History of Mathematics in America before 1900'', by D. E. Smith and

Jekuthiel Ginsburg Jekuthiel Ginsburg (1889–1957) was a professor of mathematics at Yeshiva University. He established the journal ''Scripta Mathematica''. He also was honored as a fellow of the New York Academy of Sciences The New York Academy of Sciences ...

(out of print) #''Fourier Series and Orthogonal Polynomials'', by

Dunham Jackson Dunham Jackson (July 24, 1888 in Bridgewater, Massachusetts – November 6, 1946) was a mathematician who worked within approximation theory, notably with trigonometrical and orthogonal polynomials. He is known for Jackson's inequality. He w ...

- (out of print) #''Vectors and Matrices'', by C. C. MacDuffee (out of print) #''Rings and Ideals'', by N. H. McCoy (out of print) #''The Theory of Algebraic Numbers'', second edition, by Harry Pollard and Harold G. Diamond - #''The Arithmetic Theory of Quadratic Forms'', by B. W. Jones (out of print) #''Irrational Numbers'', by Ivan Niven - #''Statistical Independence in Probability, Analysis and Number Theory'', by

Mark Kac Mark Kac ( ; Polish: ''Marek Kac''; August 3, 1914 – October 26, 1984) was a Polish-American mathematician. His main interest was probability theory. His question, " Can one hear the shape of a drum?" set off research into spectral theory, th ...

#''

A Primer of Real Functions ''A Primer of Real Functions'' is a revised edition of a classic Carus Monograph on the theory of functions of a real variable. It is authored by Ralph P. Boas Jr. and the fourth edition updated by his son Harold P. Boas Harold P. Boas (born ...

'', third edition, by Ralph P. Boas, Jr. - #''Combinatorial Mathematics'', by Herbert John Ryser - #''Noncommutative Rings'', by

I. N. Herstein Israel Nathan Herstein (March 28, 1923 – February 9, 1988) was a mathematician, appointed as professor at the University of Chicago in 1962. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and o ...

- - (out of print) #''Dedekind Sums'', by

Hans Rademacher Hans Adolph Rademacher (; 3 April 1892 – 7 February 1969) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göt ...

and

Emil Grosswald Emil Grosswald (December 15, 1912 – April 11, 1989) was a mathematician who worked primarily in number theory. Life and education Grosswald was born on December 15, 1912, in Bucharest, Romania. He received a master's degree in both mathemat ...

- (out of print) #''The Schwarz Function and its Applications'', by

Philip J. Davis Philip J. Davis (January 2, 1923 – March 14, 2018) was an American academic Applied mathematics, applied mathematician. Biography Davis was born in Lawrence, Massachusetts. He was known for his work in numerical analysis and approximation theor ...

- #''Celestial Mechanics'', by Harry Pollard - (out of print) #''Field Theory and its Classical Problems'', by

Charles Robert Hadlock Charles Robert Hadlock (born April 19, 1947, in Brooklyn, (biographical information from preface to Ph.D. thesis) New York City) is an American applied mathematician, professor emeritus of mathematical sciences, and consultant in risk analysis. In ...

- #''The Generalized Riemann Integral'', by Robert M. McLeod - (out of print) #''From Error-Correcting Codes through Sphere Packings to Simple Groups'', by Thomas M. Thompson - #''Random Walks and Electric Networks'', by Peter G. Doyle and J. Laurie Snell, #''Complex Analysis: The Geometric Viewpoint'', by

Steven G. Krantz Steven George Krantz (born February 3, 1951) is an American scholar, mathematician, and writer. Krantz is Professor Emeritus of Mathematics at Washington University in St. Louis. He has authored more than 350 research papers and published more ...

- #''Knot Theory'', by Charles Livingston - #'' Algebra and Tiling: Homomorphisms in the Service of Geometry'', by

Sherman K. Stein Sherman Kopald Stein (born August 11, 1926) is an American mathematician and an author of mathematics textbooks. He is a professor emeritus at the University of California, Davis. His writings have won the Lester R. Ford Award and the Beckenbach B ...

and Sándor Szabó - #''The Sensual (Quadratic) Form'', by John H. Conway assisted by Francis Y. C. Fung, 1997, #''A Panorama of Harmonic Analysis'', by

, 1999, #''Inequalities from Complex Analysis'', by John P. D'Angelo, 2002, #''Ergodic Theory of Numbers'', by Karma Dajani and Cor Kraaikamp, 2002, #''A Tour through Mathematical Logic'', by Robert S. Wolf, 2005, #''Randomness and Recurrence in Dynamical Systems: a Real Analysis Approach'', by Rodney Nillsen, 2010, #''Linear Inverse Problems and Tikhonov Regularization'', by Mark S. Gockenbach, 2016, #''Near the Horizon: An Invitation to Geometric Optics'', by Henk W. Broer, 2017, #'' Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other'', by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, and Karl Voss, 2018, #''Field Theory and Its Classical Problems'', by

(reprint of #19) #''The Unity of Combinatorics'', by

Ezra Brown Ezra Abraham "Bud" Brown (born January 22, 1944, in Reading, Pennsylvania) is an American mathematician active in combinatorics, algebraic number theory, elliptic curves, graph theory, expository mathematics and cryptography. He spent most of his ...

and Richard K. Guy, 2020, #''The Finite Field Distance Problem'', by David J. Covert, 2021,

References

{{reflist Series of mathematics books Monographic series

Scope and audience

Series listing

See also

References